editing disabled

Omnitetrachordal MODMOS scale
12L+10s
22 tones (9+4+9)

Pajara / srutal (diaschismic); 3 forms

P = 7.6918120831
Q = 33.2672483324 (4/3 = 5L+3.5s)

9/8 = 2L+2s (200.00 to 218.18 cents)
4/3 = 5L+4s (490.91 to 500.00 cents)
MOS generator = L+s (100.00 to 109.09 cents)
MOS period = 1/2 octave (600.00 cents)

notable EDOs: 34, 46, 56, 58, 70

sLsLsLsLsLLsLsLsLsLsLL (MOS, not OTC)
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sLsLsLsLsLsLLsLsLsLsLL (OTC MODMOS, form 1) - gc 11,11; pc 2 x10; 2o

sLsLsLsLsLLsLsLsLsLsLL (MOS, not OTC)
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ssLLssLLsLsLLssLLsLsLL (OTC MODMOS, form 2) - gc 9,7; 6o; pc 2 x7; 8o

sLsLsLsLsLLsLsLsLsLsLL (MOS, not OTC)
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ssLLssLLLssLLssLLLssLL (OTC MODMOS, form 3) - gc 7,5; 10o; pc 2 x5; 12o

sLsLsLsLsLsLLsLsLsLsLL (form 1)
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ssLLssLLsLsLLssLLsLsLL (form 2)
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ssLLssLLLssLLssLLLssLL (form 3)
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sLsLsLsLsLsLLsLsLsLsLL (form 1)

symmetric modes:
LssLLsLsLLssLLsLsLLssL (form 2)
sLLsLsLLssLLssLLsLsLLs (form 2)
sLLssLLLssLLssLLLssLLs (form 3)
LssLLLssLLssLLssLLLssL (form 3)

all modes, form 1:
sLsL sLsLsLsLL sLsLsLsLL


LsLs LsLsLsLLs LsLsLsLLs


sLsL sLsLsLLsL sLsLsLLsL


LsLs LsLsLLsLs LsLsLLsLs

LsLsLsLsL LsLsLsLsL LsLs
sLsL sLsLLsLsL sLsLLsLsL

sLsLsLsLL sLsLsLsLL sLsL
LsLs LsLLsLsLs LsLLsLsLs

LsLsLsLLs LsLsLsLLs LsLs
sLsL sLLsLsLsL sLLsLsLsL

sLsLsLLsL sLsLsLLsL sLsL
LsLs LLsLsLsLs LLsLsLsLs

LsLsLLsLs LsLsLLsLs LsLs
sLsL LsLsLsLsL LsLsLsLsL

sLsLLsLsL sLsLLsLsL sLsL


LsLLsLsLs LsLLsLsLs LsLs


sLLsLsLsL sLLsLsLsL sLsL


LLsLsLsLs LLsLsLsLs LsLs

LsLsLsLsL LsLs LsLsLsLsL
LsLsLsLsL LsLsLsLsL sLsL

sLsLsLsLL sLsL sLsLsLsLL


LsLsLsLLs LsLs LsLsLsLLs


sLsLsLLsL sLsL sLsLsLLsL


LsLsLLsLs LsLs LsLsLLsLs


sLsLLsLsL sLsL sLsLLsLsL


LsLLsLsLs LsLs LsLLsLsLs


sLLsLsLsL sLsL sLLsLsLsL


LLsLsLsLs LsLs LLsLsLsLs

LsLs LsLsLsLsL LsLsLsLsL
LsLsLsLsL sLsL LsLsLsLsL


all modes, form 2:
ssLL ssLLsLsLL ssLLsLsLL


sLLs sLLsLsLLs sLLsLsLLs

sLLssLLsL sLLssLLsL sLLs
LLss LLsLsLLss LLsLsLLss

LLssLLsLs LLssLLsLs LLss
LssL LsLsLLssL LsLsLLssL

LssLLsLsL LssLLsLsL LssL
ssLL sLsLLssLL sLsLLssLL

ssLLsLsLL ssLLsLsLL ssLL
sLLs LsLLssLLs LsLLssLLs

sLLsLsLLs sLLsLsLLs sLLs


LLsLsLLss LLsLsLLss LLss


LsLsLLssL LsLsLLssL LssL


sLsLLssLL sLsLLssLL ssLL


LsLLssLLs LsLLssLLs sLLs

sLLssLLsL sLLs sLLssLLsL


LLssLLsLs LLss LLssLLsLs


LssLLsLsL LssL LssLLsLsL


ssLLsLsLL ssLL ssLLsLsLL


sLLsLsLLs sLLs sLLsLsLLs


LLsLsLLss LLss LLsLsLLss


LsLsLLssL LssL LsLsLLssL


sLsLLssLL ssLL sLsLLssLL


LsLLssLLs sLLs LsLLssLLs

sLLs sLLssLLsL sLLssLLsL


LLss LLssLLsLs LLssLLsLs


LssL LssLLsLsL LssLLsLsL



all modes, form 3:
ssLL ssLLLssLL ssLLLssLL

ssLLssLLL ssLLssLLL ssLL
sLLs sLLLssLLs sLLLssLLs

sLLssLLLs sLLssLLLs sLLs
LLss LLLssLLss LLLssLLss

LLssLLLss LLssLLLss LLss
LssL LLssLLssL LLssLLssL

LssLLLssL LssLLLssL LssL
ssLL LssLLssLL LssLLssLL

ssLLLssLL ssLLLssLL ssLL


sLLLssLLs sLLLssLLs sLLs


LLLssLLss LLLssLLss LLss

LLssLLssL LLss LLssLLssL
LLssLLssL LLssLLssL LssL

LssLLssLL LssL LssLLssLL
LssLLssLL LssLLssLL ssLL

ssLLssLLL ssLL ssLLssLLL


sLLssLLLs sLLs sLLssLLLs


LLssLLLss LLss LLssLLLss


LssLLLssL LssL LssLLLssL


ssLLLssLL ssLL ssLLLssLL


sLLLssLLs sLLs sLLLssLLs


LLLssLLss LLss LLLssLLss

LLss LLssLLssL LLssLLssL
LLssLLssL LssL LLssLLssL

LssL LssLLssLL LssLLssLL
LssLLssLL ssLL LssLLssLL

ssLL ssLLssLLL ssLLssLLL


sLLs sLLssLLLs sLLssLLLs


LLss LLssLLLss LLssLLLss

LLssLLssL LLssLLssL LLss
LssL LssLLLssL LssLLLssL

LssLLssLL LssLLssLL LssL

22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png

See also


References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.